Charge and force on a conductive sphere between two parallel electrodes: A Stokesian dynamics approach

Drews, Aaron M.; Kowalik, Mikolaj; Bishop, Kyle J.  M.

doi:10.1063/1.4893308

Charge and force on a conductive sphere between two parallel electrodes: A Stokesian dynamics approach

Journal Article · Tue Aug 19 00:00:00 EDT 2014 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.4893308· OSTI ID:1384753

Drews, Aaron M. ^[1]; Kowalik, Mikolaj ^[1]; Bishop, Kyle J. M. ^[1]

Pennsylvania State Univ., University Park, PA (United States)

We present an accurate and efficient method to compute the electrostatic charge and force on a conductive sphere between two parallel electrodes. The method relies on a Stokesian dynamics-like approach, in which the capacitance tensor is divided into two contributions: (1) a far field contribution that captures the long range, many body interactions between the sphere and the two electrodes and (2) a near field contribution that captures the pairwise interactions between nearly contacting surfaces. The accuracy of this approach is confirmed by comparison to “exact” numerical results obtained by finite element modeling. From the capacitance tensor, we derive the charge and dipole moment on the sphere, the electrostatic free energy of the system, and the electrostatic force on the sphere. These quantities are used to describe the dynamics of micron-scale particles oscillating within a viscous dielectric liquid between two parallel electrodes subject to constant voltage. Simulated particle trajectories agree quantitatively with those captured experimentally by high speed imaging.

View Accepted Manuscript (DOE)

Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Center for Bio-Inspired Energy Science (CBES)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0000989

OSTI ID:: 1384753

Alternate ID(s):: OSTI ID: 1168015

Journal Information:: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 7 Vol. 116; ISSN 0021-8979

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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